Recognised as Number

44

Positive
Even
Composite
2 digits

44 is an even 2-digit integer and a composite number. It has 6 divisors and a digital root of 8.

Number properties

ParityEvendivisible by 2

SignPositive

PrimalityComposite

Absolute value44

Digit count2

Digit sum8

Digit product16

Multiplicative persistence2times the digit product can be taken before one digit is left

Digital root8repeated digit sum

PalindromicYesreads the same backwards

Happy numberYessquared-digit sums reach 1

Harshad numberNodivisible by its own digit sum

Factors & divisors

Prime factorisation2^2 × 11

Distinct prime factors22, 11

Number of divisors6

Sum of divisors σ(n)84

Aliquot sum40sum of the proper divisors

ClassificationDeficientthe aliquot sum is less than the number

Euler's totient φ(n)20integers below n that share no factor with it

Carmichael function λ(n)10the smallest exponent with aˣ ≡ 1 for every unit; smaller than φ(n) = 20

Möbius function μ(n)0zero, because a prime divides n twice

SquarefreeNohas a repeated prime factor

All divisors1, 2, 4, 11, 22, 446 in total

Arithmetic

Previous number43

Next number45

Double88

Half22

Square1,936

Cube85,184

Square root6.633249581≈irrational, shown to 9 decimal places

Cube root3.530348335≈

Negation-44

Reciprocal0.0227272727≈

44 factorial2,658,271,574,788,448,768,043,625,811,014,615,890,319,638,528,000,000,000

Representations

Decimal44

Binary1011006 bits

Octal54

Hexadecimal2C

Base 3618

Roman numeralXLIV

In wordsforty-four

Ordinalforty-fourth

Scientific notation4.4 × 10^1

Engineering notation44

In other bases

Ternary1122base 3; the most digit-efficient integer base after e: 4 digits

Quinary134base 5; one hand: 3 digits

Septenary62base 7: 2 digits

Nonary48base 9; each digit is two ternary digits: 2 digits

Duodecimal38base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 2 digits

Vigesimal24base 20; hands and feet, and the Mayan and Yoruba systems: 2 digits

Sexagesimal44base 60; Babylonian, and still how an hour and a circle are divided: 1 digit

Balanced ternary1TT0Tdigits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed

Negabinary1111100base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign

Bit-level

00101100

Bit length6 bitsto write the magnitude

Set bits3the population count, or Hamming weight

Zero bits3within that length

Bit parityodd3 set bits, so odd; not the same as the number itself being even

Highest set bitbit 5worth 32

Lowest set bitbit 22 trailing zeros

Power of twoNo

Bytes12c

Gray code111010n XOR (n >> 1); successive values differ in exactly one bit

At each machine width

8-bit00101100

16-bit0000000000101100

32-bit00000000000000000000000000101100

64-bit0000000000000000000000000000000000000000000000000000000000101100

One's complement11010011at 8 bits, every bit flipped

Bits reversed00110100at 8 bits

Rotated left by 101011000at 8 bits, wrapping

Shifted left by 11011000= 88, no wrap

Shifted right by 110110= 22, discarding the low bit

These bits as a double2.17388884 × 10^-322≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)

Nearest landmarks

Next prime47+3

Previous prime43−1

Distance to nearest prime1

Nearest square below36

Nearest square above49

Powers & multiples

44 to the power 21,936

44 to the power 385,184

44 to the power 43,748,096

44 to the power 5164,916,224

First ten multiples44, 88, 132, 176, 220, 264, 308, 352, 396, 440

Powers of twoBetween 2^5 (32) and 2^6 (64)

Divisibility tests

Divisible by 2Yes

Divisible by 3No, remainder 2

Divisible by 4Yes

Divisible by 5No, remainder 4

Divisible by 6No, remainder 2

Divisible by 7No, remainder 2

Divisible by 8No, remainder 4

Divisible by 9No, remainder 8

Divisible by 10No, remainder 4

Divisible by 11Yes

Divisible by 12No, remainder 8

Divisible by 100No, remainder 44

Collatz (3n + 1) trajectory

Steps to reach 116the total stopping time

Highest value reached521× the starting value

Reaches 1Yesthe Collatz conjecture says every positive integer does, but it is unproven

First steps44 → 22 → 11 → 34 → 17 → 52 → 26 → 13 → 40 → 20 → …

Last steps… → 5 → 16 → 8 → 4 → 2 → 1

As a percentage & fraction

As a percentage4,400%

44% as a decimal0.44

44% of 10044

44% of 1,000440

As a fraction of 10044/100

Read another way

As seconds44 seconds

As bytes44 B

As a 24-bit colour#00002C

Keep nerding

Every link below is a page Nerdulator can generate from what it already knows about this value.

44